Which of the expressions below could be used to find the lateral surface area of the triangular prism shown? 10 cm A. (16+10+ 10)(12) B.(16+10+10)(6) 10 cm C. (16+10 + 10X12) • 2/48) D. (12.12.16. 16)(10) 76 cm​

3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

Answer:

Step-by-step explanation:

I take it that what you mean is

10/4 + 12/6 + 17/12

Change all the questions so that their denominators are 12

10*3 / 4*3 + 12*2 / 6*2 + 17/12

30 / 12 + 24/12 + 17/12

(30 + 24 + 17)/12

71 / 12

5 11/12

5.917

Answer: 36

Step-by-step explanation:

3x6x2 I think..

What I would do is draw it out in a net. Then find the area of each area of the net. After you calculate the areas, you'll get these numbers: 18, 18, 12, 12, 6, and 6. Then add them all together.

The final answer is 72 square centimeters.

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer:

[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]

[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]

[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]

In rt. XYZ :

Using Pythagoras theorem:

[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]

Plug the values & then simplify!

⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]

⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]

In rt. YNZ ,

Using Pythagoras theorem :

⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]

In rt. XYN ,

Using Pythagoras theorem :

[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]

Now , From Equation ( i ) & Equation ( ii )

⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]

⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]

⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]

⤑ [tex] \large{ \sf{20x = 72}}[/tex]

⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm

Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

1568

Step-by-step explanation:

196/2=98

98*16=1586

Ryan can install 1568 square feet of flooring in 16 hours

Hope this helps!

Answer:

Andie spends $300   (Marisa spends 180)

Step-by-step explanation:

X= What Marisa spends

3------------5

X----------- x+120

CROSS MULTIPLICATION

5X = 3X+ 360

2X = 360

X = 180

     180+120 = 300

Andie spend $300.

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These fundamental numerical activities (+, - , ×, and ÷) we use in our day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.

Given Marisa spend $3 and same time Andie spend $5,

let when Marisa spend $x,

spend of Andie = x + 120

spend of Marisa and Andie are in ratio and equal

3 / 5 = x/(x + 120)

3(x + 120) = 5x

3x + 360 = 5x

2x = 360

x = 180

spend of Andie = x + 120 = 180 + 120 = $300

Hence the spend is $300.

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Answer:

1st

length of arcAB=80/360×2π×4=16π/9

2nd

length of arcAB=45/360×2π×9=9π/4

3rd

length of arcAB=60/360×2π×6=2π

4th

length of arcAB=52/360×2π×7=13π/35

5th

length of arcAB=72°/360×2π×5=18π/25

6th

length of arcAB=90/360×2π×4=2π

your answer is 3rd and 6th.

Answer:

answer is the 3rd and the 6th hope it help

Answer:

I SUCK AT WORD PROBLEMS TOOOO LOL

Step-by-step explanation:

Here's the solution,

the volume of the given figure is :

=》

[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]

volume of pyramid :

=》

[tex] \dfrac{l \times b \times h}{3} [/tex]

=》

[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]

=》

[tex] \dfrac{120}{3} [/tex]

=》

[tex]40[/tex]

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

[tex]l \times b \times h[/tex]

=》

[tex]4 \times 5 \times 2[/tex]

=》

[tex]40[/tex]

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

The volume of the composite solid will be 80 cubic cm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the Pyramid will be given as,

V = (1/3) × Base area × height

Then the volume of the geometry will be

V = L x W x H + (1/3) x Base area x height

V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6

V = 40 + 40

V = 80 cubic cm

Thus, the volume of the composite solid will be 80 cubic cm.

More about the geometry link is given below.

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Answer:

The answer is letter A and letter F.

Step-by-step explanation:

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

Answer:$18

Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18

Answer:

b

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that the committee will be made up of all math teachers  = total number of maths teacher / total number of teachers

7 / 12

Answer:

median: 60

mean:44

Step-by-step explanation:

80-20=60

30+50+80+40+20=220

220÷5=44

Answer:

x = [tex]\frac{(a+b)}{2}[/tex]

[tex]y=\frac{a-b}{2}[/tex]

Step-by-step explanation:

System of equations has been given as,

x + y = a ----------(1)

x - y = b ---------(2)

By adding equation (1) and (2)

(x + y) + (x - y) = a + b

2x = a + b

x = [tex]\frac{(a+b)}{2}[/tex]

By substituting these values in equation (2),

x - y = b

[tex]\frac{a+b}{2}-y=b[/tex]

[tex]\frac{a+b}{2}-b=y[/tex]

[tex]\frac{a+b-2b}{2}=y[/tex]

[tex]\frac{a-b}{2}=y[/tex]

Answer:

x<5

Step-by-step explanation:

Answer:

Are you saying look for the slope? because if so can help

Step-by-step explanation:

Answer:   (x − 3)2 +  y2 = 5

a. (x + 3)2 +  y2 = 5

b. (x − 3)2 +  y2 = 25

c. (x − 3)2 +  y2 = 5

d. (x + 5)2 + ( y + 1)2 = 25

Step-by-step explanation:

Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.

r= √(x2 − x1)2 + (y2 − y1)2

Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.

r= √( 5− 3)2 + (1 − 0)2

= √22 + 12

= √4 + 1

= √5

So, the length of the radius is √5 units.

The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.

(x − 3)2 +(y − 0)2 = (√5)2

Simplify.

(x − 3)2 + y2 = 5                                                                                            Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.

Answer:

9

Step-by-step explanation:

Exterior sides =  180 - 140 = 40

number of sides = 360 / 40 = 9 sides

Answer:

The circumference of a circle =πd = π×18 =18π m

The diameter of a circle is 18 m. Find its circumference in terms of π.

Diameter of a circle = 18 m. (Given)

Radius (r) of a circle = 18/2 = 9 m.

We know,

[tex] \dag [/tex] Circumference of a circle is 2πr.

So, It's circumference is (2 × π × 9) m.

It's circumference is 18π m.

Answer:

x⁴

Step-by-step explanation:

-16/-4=4

a negative divided by a negative equals a positive

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

Answer:

35

Step-by-step explanation:

525/75=7x5=35

The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.

Then the number of the children in Eric's school who has red hair will be

Let x be the number of the children. Then we have

[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]

More about the ratio and the proportion link is given below.

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Answer:

independent variable = Time

Dependent variable = texting speed

Step-by-step explanation:

The Independent and dependent variables are used in regression analysis for making prediction. The Independent variable also called the predictor are the variables or data collected in other to influence or determine the outpjt obtained which is the dependent or predicted variable. Hence, the aim or prediction we wish to obtain, measure or determine is the dependent variable In the scenario above, the aim of the data collected is to determine the typing skill, here, the dependent variable is the typing skill. The data required to define the bthis is the data collected on typing speed which measures time taken to type.

Therefore, independent variable = Time

Dependent variable = texting speed

Answer:

3

Step-by-step explanation:

Answer:

this is quite easy. just count the markings that are not in the 1 ounce or 2 ounce sections. in this problem, there are 5 bottles in total and 2 of them are either in the 1 ounce or 2 ounce section. this leaves 3 bottles. (also make sure you count the ones above and below the areas specified)

Answer:

432 in²

Step-by-step explanation:

To Obtian the square inches of wooden boards required :

Area of box = 2(l * w) + 2(l * h) + 2(h * w)

Length = 12 ; width = 6 ; height = 8

Hence,

Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)

Area of box = 2(72) + 2(96) + 2(48)

Area of box = 432 in²

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

Answer:

90

Step-by-step explanation:

90/10= 9

90/5= 18

No number larger than 90 would work.

Answer:

18

Step-by-step explanation

10=12

must mean 5=6

12+6=18

15=18

18 dollars

he also has diabetes and drinks diet coke

The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, given that,

Round 245,675 to the nearest hundred thousand

we know,

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

so, we get,

here, to the nearest hundred thousand means 675 > 500

so, it will be 5,675 => 6000

we have,

Rounding off 245,675 to the nearest hundred thousand is:

246000

Hence, The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.

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Answer:

125 cm^3

Step-by-step explanation:

Find THE volume of this cube of side length 5 cm:

Volume of a cube is V = s^3, where s is the side length.  

Here, V = (5 cm)^3 = 125 cm^3